v | k | b | a | groups | characteristic polynomial | generating sets | matrix | download | WL-closure |
---|---|---|---|---|---|---|---|---|---|
44 | 12 | 4 | 2 | D44; C22xC2 | (x – 12) (x + 4) (x – 4)2 (x5 – 2x4 – 16x3 + 24x2 + 48x – 32)2 (x5 + 6x4 – 12x3 – 120x2 – 160x + 32)2 (x5 + 2x4 – 16x3 – 24x2 + 48x + 32)4 | view download | raw gap magma sage | raw gap magma sage | view download |
44 | 12 | 4 | 2 | D44; C22xC2 | (x – 12) (x + 4) (x – 4)2 (x5 – 2x4 – 16x3 + 24x2 + 48x – 32)2 (x5 + 6x4 – 12x3 – 120x2 – 160x + 32)2 (x5 + 2x4 – 16x3 – 24x2 + 48x + 32)4 | view download | raw gap magma sage | raw gap magma sage | view download |
44 | 12 | 4 | 2 | D44; C22xC2 | (x – 12) (x + 4) (x – 4)2 (x5 – 2x4 – 16x3 + 24x2 + 48x – 32)2 (x5 + 6x4 – 12x3 – 120x2 – 160x + 32)2 (x5 + 2x4 – 16x3 – 24x2 + 48x + 32)4 | view download | raw gap magma sage | raw gap magma sage | view download |
44 | 12 | 4 | 2 | D44; C22xC2 | (x – 12) (x – 4) (x + 4)2 (x5 + 2x4 – 16x3 – 24x2 + 48x + 32)2 (x5 + 6x4 – 12x3 – 120x2 – 160x + 32)2 (x5 – 2x4 – 16x3 + 24x2 + 48x – 32)4 | view download | raw gap magma sage | raw gap magma sage | view download |
44 | 12 | 4 | 2 | D44; C22xC2 | (x – 12) (x – 4)3 (x5 + 6x4 – 12x3 – 120x2 – 160x + 32)2 (x5 + 2x4 – 16x3 – 24x2 + 48x + 32)6 | view download | raw gap magma sage | raw gap magma sage | view download |
44 | 12 | 4 | 2 | D44; C22xC2 | (x – 12) (x – 4) (x + 4)2 (x5 + 2x4 – 16x3 – 24x2 + 48x + 32)2 (x5 + 6x4 – 12x3 – 120x2 – 160x + 32)2 (x5 – 2x4 – 16x3 + 24x2 + 48x – 32)4 | view download | raw gap magma sage | raw gap magma sage | view download |
44 | 12 | 4 | 2 | D44; C22xC2 | (x – 12) (x – 4) (x + 4)2 (x5 + 2x4 – 16x3 – 24x2 + 48x + 32)2 (x5 + 6x4 – 12x3 – 120x2 – 160x + 32)2 (x5 – 2x4 – 16x3 + 24x2 + 48x – 32)4 | view download | raw gap magma sage | raw gap magma sage | view download |
44 | 12 | 4 | 2 | D44; C22xC2 | (x – 12) (x + 4)3 (x5 + 6x4 – 12x3 – 120x2 – 160x + 32)2 (x5 – 2x4 – 16x3 + 24x2 + 48x – 32)6 | view download | raw gap magma sage | raw gap magma sage | view download |
44 | 13 | 9 | 2 | C11:C4; C44; D44; C22xC2 | (x – 13) (x – 9)3 (x – 2)10 (x + 2)30 | view download | raw gap magma sage | raw gap magma sage | view download |
44 | 23 | 22 | 2 | C11:C4; C44; D44; C22xC2 | (x – 23) (x + 21) (x – 1)20 (x + 1)22 | view download | raw gap magma sage | raw gap magma sage | view download |
44 | 31 | 27 | 20 | C11:C4; C44; D44; C22xC2 | (x – 31) (x + 9) (x – 9)2 (x – 2)10 (x + 2)30 | view download | raw gap magma sage | raw gap magma sage | view download |
44 | 37 | 32 | 30 | D44 | (x – 37) (x – 5) (x – 3) (x + 5) (x2 – 3)10 (x2 + 4x + 1)10 | view download | raw gap magma sage | raw gap magma sage | view download |
44 | 38 | 34 | 32 | D44 | (x – 38) (x + 6) (x – 4)2 (x2 + 2x – 2)20 | view download | raw gap magma sage | raw gap magma sage | view download |
44 | 41 | 40 | 38 | C11:C4; C44; D44; C22xC2 | (x – 41) (x + 3)10 (x – 1)11 (x + 1)22 | view download | raw gap magma sage | raw gap magma sage | view download |